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Math 111 Lab 8Derivatives and Graphing(2.2, 2.6, 4.3 and 4.5) Prelab: Review the definitions of vertical asymptotes (p. 90) and horizontal asymptotes (p.128). Review Example 7 (p.298) and Example
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To fill out 11 - graphing rational, follow these steps:
02
Start by identifying the equation of the rational function.
03
Determine the domain of the function by finding the values of x for which the function is defined.
04
Plot the x-intercepts by solving the equation f(x) = 0.
05
Identify the vertical asymptotes by finding the values of x for which the function approaches positive or negative infinity.
06
Plot the horizontal asymptotes by determining the behavior of the function as x approaches positive or negative infinity.
07
Find the y-intercept by evaluating the function at x = 0.
08
Choose additional points on the graph by selecting values for x and computing the corresponding values of f(x).
09
Connect the points to form the graph of the rational function.
10
Label any important features of the graph, such as intercepts, asymptotes, and holes.
11
Check your graph by verifying that it matches the characteristics of the rational function equation.

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Anyone studying or working in the field of mathematics or related disciplines may need to understand and graph rational functions like 11 - graphing rational. This includes students, teachers, mathematicians, engineers, physicists, economists, and researchers.
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11 - graphing rational refers to a method used in mathematics to visually represent rational functions, which are ratios of polynomials.
Individuals or entities who need to graph rational functions for mathematical analysis or educational purposes are typically required to file 11 - graphing rational.
To fill out 11 - graphing rational, one needs to identify the rational function, determine key characteristics such as intercepts and asymptotes, and plot these on a graph.
The purpose of 11 - graphing rational is to provide a visual representation of the behavior of rational functions, helping in understanding their properties such as continuity, limits, and asymptotic behavior.
Information that must be reported includes the rational function details, key points like intercepts, asymptotes, and a complete graph depicting the function's behavior.
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